Blank (i)

The sentence opens: "To dismiss the geologist's monograph... as intellectually (i) ______ betrays a failure to engage with its central argument." The colon introduces the explanation: the mathematical apparatus is "unavoidably technical," yet the interpretive framework is "anything but (ii) ______ ." The unfair dismissal is that the work is impossible to understand, impenetrable, or inscrutable - a charge based on its technical foundation. The blank must mean difficult or impossible to comprehend.
- A. perfunctory - Done with minimal effort; superficial. This describes lack of care, not incomprehensibility. Incorrect.
- B. tendentious - Expressing strong bias; argumentative. This describes partisanship, not difficulty of understanding. Incorrect.
- C. inscrutable - Impossible to understand or interpret; enigmatic. "Dismiss as intellectually inscrutable" perfectly captures the unfair charge based on technical difficulty. Correct.

Blank (ii)

The "yet" clause provides the rebuttal: "the interpretive framework she erects upon those calculations is anything but (ii) ______ ." The phrase "anything but" means "certainly not." The contrast with "unavoidably technical" suggests the framework is clear, accessible, lucid - the opposite of obscure. The blank must mean difficult to understand; obscure; recondite.
- D. pedestrian - Ordinary, dull, commonplace. This describes quality, not comprehensibility. Incorrect.
- E. speculative - Based on conjecture rather than knowledge. This describes evidentiary basis, not clarity. Incorrect.
- F. abstruse - Difficult to understand; obscure; recondite. "Anything but abstruse" perfectly captures the idea that the framework is clear and accessible. Correct.